yes, the individual test score values are results of AbsoluteTiming. It's interesting to see the variation between platforms. My fairly new MacBook Pro M1 is mostly faster than my ancient Windows Kaby Lake system, but, for example, sorting reals is almost twice as slow on the M1.

they clearly haven't fully optimized for Apple Silicon capabilities yet

I was talking with @rcollyer yesterday and mentioned that it's now been 10 years since that very heated December... :)

Hello everyone. I have been googling, but I can't even find the appropriate words to get borderline relevant results. I wonder whether there is a function in Mathematica that I can use to distinguish between 1D, 2D, 3D and so on lists. The lists can be irregular, which makes DImensions not suitable for the task

@ThunderBiggi Depth?

by irregular I mean something like {{a, b, c}, {e, d, f, g, t}, {t}}, for which Dimensions just returns 3, which would be the same result as for {a,b,c}

Checkign Depth right away, never heard of it

As long as a, b, and c are atomic Depth will work

If not you need a version of Depth that only recurses into List heads

I don't quite understand what you are saying, but the elements of my lists are inequalities

I am currently trying to understand the numbers Depth is giving me

@b3m2a1 can you elaborate on this?

Mostly, a way to illustrate that point is to note that both Depth[{{a, b, c}, {e, d, f, g, t}, {t}}] and Depth[{{a, b, c}, f[e, d, f, g, t], {t}}] give 3. You may or may not want that, depending on what you're doing.

(It's unfortunate Depth[] doesn't have an AllowedHeads option like ArrayDepth[].)

in your example with f[e,d,f,g,t] in it, isn't the answer dictated by the presence of the sublists? That is, unless f[...] was a 2D list itself, the anwer won't change?

So I see that Depth[{a<b}] gives 3, but Depth[{a<b/c}] gives 5. This is very undesirable for me. Can that be avoided?

That might be a good question for the main site. :)

I was thinking of writing a question, but I don't even know where to start from, since I discovered that also inequalities are counted different than expressions without inequalities in them, so it is a bit of a mess and I don't know how to come up with a minimumal working example that encompasses all the issues I have.

I also have Indexed expressiosn which seem to be coutned differently, so at this stage I have no clue what other objects Mathematica counts differently, so I don't think I can use Depth with confidence